2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/86644The Doppler effects for the reflected wave from a moving media are systemically analyzed in this paper. The theoretical formula for the Doppler shift in the left-handed material, which is described by Drude's dispersion model, is presented. This formula is examined by first-principles numerical experiments, which are in agreement with the theoretical results.10 pages, 5 figuresOpticsGeneral Physicstext